73966944 has 48 divisors (see below), whose sum is σ = 196523712. Its totient is φ = 24355968.

The previous prime is 73966901. The next prime is 73966957. The reversal of 73966944 is 44966937.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×73966944² = 10942217609398272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 73966893 and 73966902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3327 + ... + 12609.

It is an arithmetic number, because the mean of its divisors is an integer number (4094244).

Almost surely, 2^73966944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73966944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98261856).

73966944 is an abundant number, since it is smaller than the sum of its proper divisors (122556768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73966944 is a wasteful number, since it uses less digits than its factorization.

73966944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9379 (or 9371 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 73966944 is about 8600.4037114545. The cubic root of 73966944 is about 419.7711224622.

The spelling of 73966944 in words is "seventy-three million, nine hundred sixty-six thousand, nine hundred forty-four".